Finding the Third Proportional to 56,677 and 88,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,677 : 88,165.50 = 88,165.50 : x
2. Step 2: Convert to fraction form
   56,677/88,165.50 = 88,165.50/x
3. Step 3: Cross multiply
   56,677x = 88,165.50 × 88,165.50
4. Step 4: Simplify right side
   56,677x = 7,773,155,390.25
5. Step 5: Solve for x
   x = 7,773,155,390.25/56,677
6. Step 6: Final answer
   x = 137,148.32